4480902720 has 448 divisors, whose sum is σ = 18496727040. Its totient is φ = 999806976.

The previous prime is 4480902659. The next prime is 4480902749. The reversal of 4480902720 is 272090844.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4480902720² = 40156978372206796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2599779 + ... + 2601501.

Almost surely, 2^4480902720 is an apocalyptic number.

4480902720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4480902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248363520).

4480902720 is an abundant number, since it is smaller than the sum of its proper divisors (14015824320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4480902720 is a wasteful number, since it uses less digits than its factorization.

4480902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4480902720 is about 66939.5452628713. The cubic root of 4480902720 is about 1648.6248376856.

The spelling of 4480902720 in words is "four billion, four hundred eighty million, nine hundred two thousand, seven hundred twenty".